# How do you find the value of the discriminant and determine the nature of the roots #5b^2+b-2=0#?

##### 1 Answer

Jun 1, 2017

The discriminant is

#### Explanation:

If a quadratic equation is in the form:

The discriminant is defined to be:

Since the discriminant is positive, there are 2 distinct real-number solutions.

If the discriminant is negative, there are no real-number solutions and if the discriminant is